# ---
# title: 492. Construct the Rectangle
# id: problem492
# author: Tian Jun
# date: 2020-10-31
# difficulty: Easy
# categories: Math
# link: <https://leetcode.com/problems/construct-the-rectangle/description/>
# hidden: true
# ---
# 
# A web developer needs to know how to design a web page's size. So, given a
# specific rectangular web page's area, your job by now is to design a
# rectangular web page, whose length L and width W satisfy the following
# requirements:
# 
#   1. The area of the rectangular web page you designed must equal to the given target area.
#   2. The width `W` should not be larger than the length `L`, which means `L >= W`.
#   3. The difference between length `L` and width `W` should be as small as possible.
# 
# Return _an array`[L, W]` where `L` and `W` are the length and width of the web
# page you designed in sequence._
# 
# 
# 
# **Example 1:**
# 
#     
#     
#     Input: area = 4
#     Output: [2,2]
#     Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. 
#     But according to requirement 2, [1,4] is illegal; according to requirement 3,  [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.
#     
# 
# **Example 2:**
# 
#     
#     
#     Input: area = 37
#     Output: [37,1]
#     
# 
# **Example 3:**
# 
#     
#     
#     Input: area = 122122
#     Output: [427,286]
#     
# 
# 
# 
# **Constraints:**
# 
#   * `1 <= area <= 107`
# 
# 
## @lc code=start
using LeetCode

## add your code here:
## @lc code=end
